Minmax programming problems with (p, r) - ρ - (η, θ)-invexity Online publication date: Mon, 31-Mar-2014
by P. Mandal; C. Nahak
International Journal of Mathematics in Operational Research (IJMOR), Vol. 5, No. 1, 2013
Abstract: In this paper, we establish the sufficient optimality conditions for minmax programming and generalized fractional minmax programming problems. Based on the sufficient conditions, a duality model is constructed and duality results are derived under a new type of generalised invexity assumption, called (p, r) - ρ - (η, θ)-invexity. Our study extends some of the previously known results in the framework of generalised invexity and duality models. We also provide some examples to illustrate our work.
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